Fitting single particle energies in sdgh major shell
Communications in Theoretical Physics, vol.63, no.2, pp.222-228, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 63 Issue: 2
- Publication Date: 2015
- Doi Number: 10.1088/0253-6102/63/2/15
- Journal Name: Communications in Theoretical Physics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.222-228
- Keywords: optimization of single-particle energies, shell model, Sn isotopes
- Isparta University of Applied Sciences Affiliated: Yes
Abstract
We have performed two kinds of non-linear fitting procedures to the single-particle energies in the sdgh major shell to obtain better shell model results. The low-lying energy eigenvalues of the light Sn isotopes with A = 103-110 in the sdgh-shell are calculated in the framework of the nuclear shell model by using CD-Bonn two-body effective nucleon-nucleon interaction. The obtained energy eigenvalues are fitted to the corresponding experimental values by using two different non-linear fitting procedures, i.e., downhill simplex method and clonal selection method. The unknown single-particle energies of the states 2s1/2, 1d3/2, and 0h11/2 are used in the fitting methods to obtain better spectra of the 104,106,108,110Sn isotopes. We compare the energy spectra of the 104,106,108,110Sn and 103,105,107,109Sn isotopes with/without a nonlinear fit to the experimental results.